Sleep apnea is a sleep disorder characterized by pauses in breathing during sleep. Children with sleep apnea have behavior problems, including hyperactivity, inattention, and aggression, as well as impaired learning and diminished academic performance. The removal of tonsils and adenoids that are enlarged, causing the obstruction of the airways, is one of the most common treatments for pediatric sleep apnea. A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on inattentive behavior. Her quasi-experiment includes three groups of 11 children. The first group of children does not have sleep apnea, the second group has untreated sleep apnea, and the third group has sleep apnea treated by tonsillectomies and adenoidectomies. Inattentiveness was measured using teacher reports on the Conners Rating Scale. The sample means and sums of squared deviations o the scores for each of the three groups are presented in the table that follows. Group No sleep apnea Untreated sleep apnea Treated sleep apnea Sample Mean Sum of Squares 0.3240 0.4410 0.2250 0.60 0.45 0.31 After collecting the data, the clinical psychologist analyzes the data using an ANOVA. The results of her analysis are presented in the ANOVA table that follows. Within Treatments Total ANOVA Table Source of Variation Sum of Squares Degrees of Freedom Between Treatments 2 30 32 0.4631 0.9900 1.4531 Mean Square F 7.02 0.2316 0.0330 The critical value of F when a = 0.01 is 5.390, meaning the critical region consists of all F-ratios greater than 5.390. The F-ratio is greater than this critical value, so you know that at least one difference exists among the treatments. Since more than two groups are involved, the psychologis is interested in determining which groups are different. The Scheffe test will be used to evaluate the pairs. Call the no sleep apnea group A, the untreated sleep apnea group B, and the treated sleep apnea group C. Start with the calculations you will need to evaluate the difference between the no sleep apnea group (A) and the untreated sleep apnea group (B). The SSbetween AİB . The FA versus i (Hint: Recall that you can use the sample size for each treatment (n = 11) and the treatment mean to compute each treatment total (T).) At a = 0.01, the psychologist conclude that the population means for children without sleep apnea and children with untreated sleep apnea differ. Next evaluate the difference between the no sleep apnea group (A) and the treated sleep apnea group (C). The SSbetween A The FA versus i